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Ethylene is produced by, underset("Cyc...

Ethylene is produced by,
`underset("Cyclobutane")(C_(4)H_(8))overset(Delta)(rarr) 2C_(2)H_(4)`
The rate constant is `2.48xx10^(-4) sec^(-1)`. In what time will the molar ratio of the ethylene to cyclobutane in reaction mixture attain the value `1` ?

A

27.25 minute

B

28.25 minute

C

25 minute

D

20 minute

Text Solution

Verified by Experts

`C_4H_8 overset(Delta)to 2C_2H_4`
Mole at t = 0 a 0
Mole at t = t (a-x) 2x
When `(2x)/(a-x)=1`, then `2x = a-x :. 3x =a :. X = a/3`
`t = 2.303/(k) log. (a) /(a-x)`
`=2.303/(2.48xx 10^(-4))log. (a) /(a-a/3)`
= 1635.2 second = 27.25 minute
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